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Finding the Fourth Proportional to 7,850.70, 11,777.67 and 2,304.22

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Solution

The fourth proportional to 7,850.70, 11,777.67 and 2,304.22 is: 3,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.70 : 11,777.67 = 2,304.22 : x
  2. Step 2: Convert to fraction form
    7,850.70/11,777.67 = 2,304.22/x
  3. Step 3: Cross multiply
    7,850.70x = 11,777.67 × 2,304.22
  4. Step 4: Simplify right side
    7,850.70x = 27,138,342.77
  5. Step 5: Solve for x
    x = 27,138,342.77/7,850.70
  6. Step 6: Final answer
    x = 3,456.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.